The

leading coefficient of a

polynomial is the

coefficient of the

monomial term with the greatest

degree that has a

nonzero coefficient.

For a generic polynomial in x,

a_{n}x^{n} + a_{n-1}x^{n-1} + ... a_{1}x + a_{0}, where n is the largest nonnegative integer such that a_{n} is not equal to ,

the leading coefficient is a_{n}. If the leading coefficient is equal to 1, then the polynomial is monic.